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Hermite Multipliers on Modulation Spaces

Bhimani, DG and Balhara, R and Thangavelu, S (2019) Hermite Multipliers on Modulation Spaces. In: Springer Proceedings in Mathematics and Statistics, 275 . pp. 42-64.

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Official URL: https://doi.org/10.1007/978-3-030-05657-5_5


We study multipliers associated to the Hermite operator on modulation spaces We prove that the operator m(H) is bounded on under standard conditions on m, for suitable choice of p and q. As an application, we point out that the solutions to the free wave and Schrödinger equations associated to H with initial data in a modulation space will remain in the same modulation space for all times. We also point out that Riesz transforms associated to H are bounded on some modulation spaces.

Item Type: Journal Article
Publication: Springer Proceedings in Mathematics and Statistics
Publisher: Springer New York LLC
Additional Information: The copyright for this article belongs to the Authors.
Keywords: Developing countries; Partial differential equations, Dinger equation; Hermite; Modulation spaces; Riesz transform; Standard conditions, Modulation
Department/Centre: Division of Mechanical Sciences > Aerospace Engineering(Formerly Aeronautical Engineering)
Date Deposited: 27 Oct 2022 08:44
Last Modified: 27 Oct 2022 08:44
URI: https://eprints.iisc.ac.in/id/eprint/77604

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